The geometry of the Wannier two-electron ionisation ladder and the corresponding spectrum

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Abstract
Numerical results of a variety of atoms, using the theory of those doubly excited states (DES) which define the two-electron ionisation ladder (TEIL), demonstrate that the degree of localisation on the Wannier ridge is already high for n>or=5. These results are used to interpret the behaviour of the TEIL as an effective rigid rotor system, whose energy spectrum is deduced to be En=An(n-1)/r2n, where A is a constant, characteristic of the system, and rn is the average value of the radii of the pair of valence electrons, calculated from first principles. The prediction is made that the TEIL states can be distinguished from the other DES in complex photoabsorption spectra according to the spectral characteristics of the rigid rotor in external static fields.

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